Parabolas represent fascinating geometric shapes. They display a unique trait: every point on a parabola is the same distance from a fixed point called the center. This feature gives rise to the well-known form of a parabola, often illustrated as a uniform curve that opens either upwards. In geometry, parabolas have many uses. They play a crucial

In calculus, determining the area areabola under a parabola represents a fundamental concept. This region is limited by the parabola's curve, the x-axis, and two specific vertical lines representing the endpoints of integration. To find this area, we employ the definite integral, which provides a precise measurement of the area under the curve. The